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Prob. 2. ū and i are two vectors. If |피 = 4, [히 =3 and 2(ü, ü) = 2π/3. Find: a) ü.ㅎ b) ū.u c) |3ü + 2히 d) lü + 히2

Prob. 2. ū and i are two vectors. If |피 = 4, [히 =3 and 2(ü, ü) = 2π/3. Find: a) ü.ㅎ b) ū.u c) |3ü + 2히 d) lü + 히2

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Problem 2:** \(\vec{u}\) and \(\vec{v}\) are two vectors. Given: \(|\vec{u}| = 4\), \(|\vec{v}| = 3\), and the angle between \(\vec{u}\) and \(\vec{v}\), \(\angle(\vec{u}, \vec{v}) = \frac{2\pi}{3}\). Task: Find the following values: a) \(\vec{u} \cdot \vec{v}\) b) \(\vec{u} \cdot \vec{u}\) c) \(|3\vec{u} + 2\vec{v}|\) d) \(|\vec{u} + \vec{v}|^2\) There are no graphs or diagrams in this image.
Transcribed Image Text:**Problem 2:** \(\vec{u}\) and \(\vec{v}\) are two vectors. Given: \(|\vec{u}| = 4\), \(|\vec{v}| = 3\), and the angle between \(\vec{u}\) and \(\vec{v}\), \(\angle(\vec{u}, \vec{v}) = \frac{2\pi}{3}\). Task: Find the following values: a) \(\vec{u} \cdot \vec{v}\) b) \(\vec{u} \cdot \vec{u}\) c) \(|3\vec{u} + 2\vec{v}|\) d) \(|\vec{u} + \vec{v}|^2\) There are no graphs or diagrams in this image.
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